1
MULTI-LEVEL INVERTER: A LITERATURE SURVEY ON
TOPOLOGIES AND CONTROL STRATEGIES
BINDESHWAR SINGH1 , NUPUR MITTAL 3 , DR. K.S. VERMA 2, DR. DEEPENDRA SINGH2 , S.P. SINGH1 , , RAHUL
DIXIT3, MANVENDRA SINGH3, AND AANCHAL BARANWAL4
1Asstt Prof., Department of Electrical Engineering, KNIT , Sultanpur
2Prof., Department of Electrical Engineering, KNIT , Sultanpur
3M.Tech. scholar ., Department of Electrical Engineering, KNIT, Sultanpur
B.Tech. Scholar, Department of Electrical Engineering, KNIT, Sultanpur
E-mail: [email protected]
ABSTRACT
Multilevel inverters have been attracting in favor of academia as well as industry in the recent decade for high-power and medium-voltage energy control. In addition, they can synthesize switched waveforms with lower levels of harmonic distortion than an equivalently rated two-level converter.The multilevel concept is used to decrease the harmonic distortion in the output waveform without decreasing the inverter power output. This paper presents the most important topologies like diode-clamped inverter (neutral- point clamped),capacitor-clamped (flying capacitor), and cascaded multilevel with separate dc sources.This paper also presents the most relevant modulation methods developed for this family of converters: multilevel sinusoidal pulsewidth modulation, multilevel selective harmonic elimination, and space-vector modulation.Authors strongly believe that this survey article will be very much useful to the researchers for finding out the relevant references in the field of topologies and modulation strategies of multilevel inverter.
Keywords: Diode Clamped Inverter, Capacitor Clamped Inverter, Cascade H-Bridge Inverter, Modulation
Technique.
1.
INTRODUCTIONNumerous industrial applications have begun to require higher power apparatus in recent years. Some medium voltage motor drives and utility applications require medium voltage and megawatt power level. For a medium voltage grid, it is
troublesome to connect only one power
semiconductor switch directly.As a result, a multilevel power converter structure has been introduced as an alternative in high power and medium voltage situations Subsequently, several multilevel converter topologies have been developed. A multilevel converter not only achieves high power ratings, but also enables the use of renewable energy sources. The term multilevel began with the three-level converter. The advantages of three-level Inverter topology over conventional two-level topology are:
• The voltage across the switches is only one half of
the DC source voltage;
• The switching frequency can be reduced for the
same switching losses;
• The higher output current harmonics are reduced
by the same switching frequency.
Plentiful multilevel converter topologies have been proposed during the last two decades.
2 Figure.1: One Phase Leg Of An Inverter With (A) Two Levels, (B) Three Levels, And (C) N Levels.
Figure.1 shows a schematic diagram of one phase leg of inverters with different numbers of levels, for which the action of the power semiconductors is represented by an ideal switch with several positions. A two-level inverter generates an output voltage with two values (levels) with respect to the negative terminal of the capacitor [see Fig. 1(a)], while the three-level inverter generates three voltages, and so on.The most attractive features of multilevel inverters are as follows.
1. They can generate output voltages with
extremely low distortion and lower .
2. They draw input current with very low
distortion.
3. They generate smaller common-mode (CM)
voltage, thus reducing the stress in the motor bearings.In addition, using sophisticated modulation methods, CM voltages can be eliminated.
4. They can operate with a lower switching
frequency.
A. DIODE-CLAMPEDINVERTER
The most commonly used multilevel topology is the diode clamped inverter, in which the diode is used as the clamping device to clamp the dc bus voltage so as to achieve steps in the output voltage.Thus, the main concept of this inverter is to use diodes to limit the power devices voltage stress. The voltage over each capacitor and each switch is Vdc. An n level inverter needs (n-1) voltage sources, 2(n-1) switching devices and (n-1) (n-2) diodes. By increasing the number of voltage levels the quality of the output voltage is improved and the voltage waveform becomes closer to sinusoidal waveform. Figure.2a) shows a three-level diode-clamped converter in which the dc bus consists of two capacitors, C1, C2. For dc-bus voltage Vdc, the voltage across each capacitor is Vdc/2 and each device voltage stress will be limited to one capacitor voltage level Vdc/2 through clamping diodes. To explain how the staircase voltage is synthesized, the neutral point n is considered as the output phase voltage reference point. There are three switch combinations to synthesize three-level voltages across a and n.
1. Voltage level Van= Vdc/2, turn on the switches S1andS2.
2. Voltage level Van= 0, turn on the switches S2 and S1′.
3. Voltage level Van= - Vdc/2 turn on the switches S1′,S2′.
Figure.2(b) shows a five-level diode-clamped converter in which the dc bus consists of four capacitors, C1, C2, C3, and C4. For dc-bus voltage Vdc, the voltage across each capacitor is Vdc/4 and each device voltage stress will be limited to one capacitor voltage level Vdc/4 through clamping diodes.
Figure.2: Diode-Clamped Multilevel Inverter Circuit Topologies. (A) Three-Level.(B)
Five-Level.
To synthesize 5-level output phase voltage,switching sequence as given in table 1. State condition 1 means switch ON and 0 means switch OFF.
Volt age Vao
Switch State S
1 S 2
S 3
S 4
S 1’
S 2’
S 3’
S 4’ Vdc 1 1 1 1 0 0 0 0 Vdc/
2 0 1 1 1 1 0 0 0
0 0 0 1 1 1 1 0 0
-Vdc/2
0 0 0 1 1 1 1 0
-Vdc 0 0 0 0 1 1 1 1
Table1: Switching States In One Leg Of The Five-Level Diode Clamped Inverter -Level
B. CASCADED MULTILEVEL INVERTER
3
of output voltage levels are 2n+1, where n is the
number of cells. The switching angles can be chosen in such a way that the total harmonic distortion is minimized. One of the advantages of this type of multilevel inverter is that it needs less number of components comparative to the Diode clamped or the flying capacitor, so the price and the weight of the inverter is less than that of the two types.Figure.3 shows the power circuit for one phase leg of a three-level and five-level cascaded inverter.In a 3-level cascaded inverter each single-phase full-bridge inverter generates three voltages at the output: +Vdc, 0, -Vdc (zero, positive dc voltage, and negative dc voltage). This is made possible by connecting the capacitors.The resulting output ac voltage swings from -Vdc to +Vdc with three levels, -2Vdc to +2Vdc.
Figure.3: Single Phase Structures Of Cascaded Inverter (A) 3-Level, (B)5-Level
C. CAPACITOR CLAMPED INVERTER
The structure of this inverter is similar to that of the diode-clamped inverter except that instead of using clamping diodes, the inverter uses capacitors in their place. The flying capacitor involves series connection of capacitor clamped switching cells. This topology has a ladder structure of dc side capacitors, where the voltage on each capacitor differs from that of the next capacitor. The voltage increment between two adjacent capacitor legs gives the size of the voltage steps in the output waveform.fig shows single phase n-level
configuration of capacitor clamped inverter. An n
-level inverter will require a total of (n-1)×(n-2)/2
clamping capacitors per phase leg in addition to (n
-1) main dc bus capacitors. The voltage levels and
the arrangements of the flying capacitors in the FCMLI structure assures that the voltage stress across each main device is same and is equal to
Vdc/(n-1), for an n-level inverter. The voltage
synthesis in a five-level capacitor-clamped converter has more flexibility than a diode-clamped converter. Using Figure.4(b) the voltage of the five-level phase-leg “a” output with respect to the
neutral point n (i.e.Van), can be synthesized by the following switch combinations.
1. Voltage level Van= Vdc/2, turn on all upper
switches S1 - S4 .
2. Voltage level Van= Vdc/4, there are three
combinations.
a. Turn on switches S1 , S2 , S3 and
S1′.(Van= Vdc/2 of upper C4‟s - Vdc/4
of C1‟s).
b. Turn on switches S2 , S3 , S4 and
S4′.(Van= 3Vdc/4 of upper C3‟s - Vdc/2
of C4‟s).
c. Turn on switches S1 , S3 , S4 and S3′.
(Van= Vdc/2 of upper C4‟s - 3Vdc/4 or
C3‟s + Vdc/2 of upper C„).
3. Voltage level Van= 0, turn on upper switches
S3 , S4 , and lower switch S1′, S2′.
4. Voltage level Van= -Vdc/4, turn on upper
switch S1 and lower switches S1′, S2′and S3′.
5. Voltage level Van= -Vdc/2, turn on all lower
switches S1′, S2′, S3′ and S4′.
Figure.4: Capacitor-Clamped Multilevel Inverter Circuit Topologies, (A) 3-Level Inverter (B) 5-
Level Inverter.
2.
CLASSIFICATION OF CONTROL STRATEGIES4 uses the phase-shifting technique to reduce the harmonics in the load voltage. Another interesting alternative is the SVM strategy, which has been used in three-level inverters.
Methods that work with low switching frequencies generally perform one or two commutations of the power semiconductors during one cycle of the output voltages, generating a staircase waveform. Representatives of this family are the multilevel selective harmonic elimination and the space-vector control (SVC).
Figure.5:Classification Of Multilevel Modulation Methods.
MULTILEVEL SINUSOIDAL PWM
The control principle of the SPWM is to use several triangular carrier signals keeping only one modulating sinusoidal signal. For a m-level inverter, (m-1) triangular carriers are needed. The carriers have the same frequency fc and the same peak-to-peak amplitude AC. The modulating signal is a sinusoid of frequency fm and amplitude Am. At every instant, each carrier is compared with the modulating signal. Each comparison switches the switch "on" if the modulating signal is greater than the triangular carrier assigned to that switch. The
main parameters of the modulation process are:
• The frequency ratio k=fc/fm, where fc is the
frequency of the carriers, and fm is the frequency of the modulating signal.
• The modulation index M=Am / (m *Ac),
where Am is the amplitude of the modulating signal, A, is the peak-to-peak amplitude of the carriers, and m'= (m- 1)/2, where m is the number of level (which is odd).
Figure.6 shows the typical voltage generated by one cell for the inverter by comparing a sinusoidal reference with a triangular carrier signal. A number of –cascaded cells in one phase with their carriers
shifted by an angle and using the same
control voltage produce a load voltage with the smallest distortion.
Figure.6: Inverter Cell Voltages. (A) Output Voltage And Reference With SPWM.(B) Output
Voltage And Reference With Injection Of Sinusoidal Third Harmonic.
SPACE VECTOR MODULATION
The basic idea of voltage space vector modulation is to control the inverter output voltages so that their Parks representation will be approximately equals the reference voltage vector. In the case of two level inverter, the output of each phase will be either +Vdc/2 or - Vd&2.The SVM technique can be easily extended to all multilevel inverters. Figure.7 shows space vectors for the traditional two-, three-, and five-level inverters. These vector dia-grams are universal regardless of the type of multilevel inverter. In other words, Figure.7(c) is valid for five-level diode-clamped, capacitor-clamped, or cascaded inverter. The adjacent three vectors can synthesize a desired voltage vector by
computing the duty cycle( Tj, Tj+1 and Tj+2) for
each vector.
V*= ( TjVj+ Tj+1Vj+1 + Tj+2Vj+2 )/T
5 SELECTIVE HARMONIC
ELIMINATION-PWM
Selective Harmonic Elimination (SHE) is an off-line(precalculated) non carrier based PWM technique. In this method the basic square-wave output is "chopped" a number of times, which are obtained by proper off-line calculations.
Figure.7: Space-Vector Diagram: (A) Two-Level, (B) Three-Two-Level, And (C) Five-Level
Inverter
Figure.8 shows a generalized quarter-wave symmetric stepped voltage waveform synthesized by a (2m+1) -level inverter, where m is the number of switching angles. By applying Fourier series
analysis, the amplitude of any odd nth harmonic of
the stepped waveform can be expressed as (4), whereas the amplitudes of all even harmonics are zero
hn =
Where Vk is the Kth level of dc voltage, n is an
odd harmonic order, m is the number of switching
angles, and ak is the th switching angle. According
to Fig. 16, a1 to am must satisfy
a1 < a2 < a3<…….< am-1< am<
To minimize harmonic distortion and to achieve adjustable amplitude of the fundamental component, up to m-1 harmonic contents can be removed from the voltage waveform. In general, the most significant low-frequency harmonics are chosen for elimination by properly selecting angles among different level inverters, and high-frequency harmonic components can be readily removed by using additional filter circuits. To keep the number of eliminated harmonics at a constant level, all
switching angles must be less than
Figure.8: Generalized Stepped - Voltage Waveform
However, if the switching angles do not satisfy the condition, this scheme no longer exists. As a result, this modulation strategy basically provides a narrow range of modulation index, which is its main disadvantage.
SPACE VECTOR CONTROL
A conceptually different control method for multilevel inverters, based on the space-vector theory, has been introduced. This control strategy, called SVC, works with low switching frequencies and does not generate the mean value of the desired load voltage in every switching interval, as is the principle of SVM. Figure.9 shows the 311 different space vectors generated by an 11-level inverter. The
reference load voltage vector Vref is also included
in this figure. The main idea in SVC is to deliver to the load a voltage vector that minimizes the space
error or distance to the reference vector Vref. The
6 unnecessary to use a more complex modulation scheme involving the three vectors adjacent to the reference
Figure.9: Load Voltage Space Vectors Generated By An 11- Level Inverter
The shaded hexagon of Figure.9 shows the boundary of highest proximity, which means that
when the reference voltage Vref is located in this
area, vector vc must be selected, because it has the
greatest proximity to the reference.Figure.10(a) presents the voltage generated by one cell in an eleven-level multicell inverter with five cells per phase and an output frequency of 50 Hz. The load voltage of the inverter for the same frequency and modulation index 0.99 is shown in Figure.10(b).
Figure.10: Voltages Generated By An 11 - Level Inverter With SVC (a) One - Cell Voltage (b)
Resulting Load Voltage.
3.
A LITERATURES SURVEY REGARDING WITH MULTILEVEL INVERTER TOPOLOGIES AND CONTROL TECHNIQUE3.1 DIODE CLAMPED INVERTER
Zhiguo Pan, et al. [1], presented in this literature a new voltage balancing control for the diode-clamped multilevel rectifier/inverter system. A complete analysis of the voltage balance theory for a five-level back to- back system is given.The proposed control strategy regulates the dc bus voltage, balances the capacitors, and decreases the harmonic components of the voltage and current. Grain P. Adam, et al. [2], introduced a new operational mode for diode-clamped multilevel inverters termed quasi two-level operation is proposed. Such operation aims to avoid the imbalance problem of the dc-link capacitors for multilevel inverters with more than three levels and reduces the dc-link capacitance without introducing any significant voltage ripple at the dc-link nodes. Baoming Ge, et al. [3], suggested an effective control technique for medium-voltage high-power induction motor fed by cascaded neutral-point-clamped inverter. Jeffrey Ewanchuk, et al. [4], addressed a five/nine-level twelve-switch inverter is described for three-phase high-speed electric machines having a low per-unit leakage reactance. Operational and design details are described for the NPC-CI inverter using a three-limb inductor core, including practical considerations for the inverter construction and operation, 480 V/208 V inductor mass comparison between six- and twelve-switch topologies, natural voltage balancing of the splitcapacitor dc link, and voltage stresses of the freewheel diodes. Arash A. Boora, et al. [5], used a new single-inductor multi-output dc/dc converter is proposed that can control the dc-link voltages of a single-phase diode-clamped inverter asymmetrically to achieve voltage quality enhancement. The circuit of the presented converter is explained and themain equations are developed. C. Attaianese, et al. [6], proposed a comparative analysis between the classical structure of Neutral Point Clamped (NPC) converter and the emerging Active NPC converter. Numerical analyses of losses distribution among power devices for some known carrier based PWM techniques are reported. Jain, et al. [7], presented in this literature DC bus short circuit protection is usually done, using the sensed voltage across collector and emitter (i.e.,
VCE sensing), of all the devices in a leg. This
7 drive circuits used in the two level converters.The literature explains the detailed circuit behavior and reasons, which result in the occurrence of such false
VCE fault signals also illustrates that such a
phenomenon shows dependence on the power factor of the supplied three-phase load.It is shown that the problem can be avoided by blocking out the
VCE sense fault signals of the inner devices of the
leg. Jun Li, et al. [8], introduced a new nine-level active neutral-point-clamped (9L ANPC) converter is proposed for the grid connection of large wind turbines (WTs) to improve the waveform quality of the converter output voltage and current. The topology, operating principles, control schemes, and main features, as well as semiconductor device selection of the proposed converter are presented in detail. Robert Stala, et al. [9], focused on investigations of dc-link voltages balance with the use of a passive RLC circuit in a single-phase diode-clamped inverter composed of two three-level legs. This literature also presents mathematical analysis of the PWM modulation method and the inverter operation, and an analytical description of the natural balancing process with contribution of the load current and the balancing circuit current. Jin Li, et al. [10], suggested three-level active neutral-point-clamped zero-current-transition (3L-ANPC ZCT) converter for the sustainable energy power conversion systems. The operation principle and comparison with the 3L-DNPC ZCT are analyzed in detail.Marcelo C. Cavalcanti, et al. [11], addressed new modulation techniques for three-phase transformerless neutral point clamped inverters to eliminate leakage currents in photovoltaic systems without requiring any modification on the multilevel inverter or any additional hardware. Jin Li, et al. [12], used comparison between three level diode neutral-point-clamped zero-current transition (DNPC-3L ZCT) inverter and three-level active neutral-point-clamped zero-current-transition (ANPC-3L ZCT) inverter. The two multilevel soft switching topologies are compared with respect to switching energy, volume, as well as parasitic inductance influence.
3.2 CASCADED MULTILEVEL INVERTER
Zhongyuan Cheng, et al. [13], suggested a novel switching sequence design for the space-vector modulation of high power multilevel converters. Pablo Lezana, et al. [14], addressed the use of a single-phase reduced cell suitable for cascaded multilevel converters. The results presented confirm that this medium voltage inverter
8 modular three-phase multilevel inverter specially suited for electrical drive applications is proposed. The topology is based on power cells connected in cascade using two inverter legs in series. K. Sivakumar, et al. [25], suggested a new five-level inverter topology for open-end winding induction-motor (IM) drive is proposed. Farid Khoucha, et al. [26], addressed a comparison study for a cascaded H-bridge multilevel direct torque control (DTC) induction motor drive.In this case, symmetrical and asymmetrical arrangements of five- and seven-level H-bridge inverters are compared in order to find an optimum arrangement with lower switching losses and optimized output voltage quality. Jianjiang Shi, et al. [27], presented in this literature the solid-state transformer (SST) is one of the key elements in power electronic-based microgrid systems. This literature presents a novel single-phase d–q vector-based common-duty-ratio control method for the multilevel rectifier, and a voltage feed forward and feedback based controller for the modular DAB converter. Makoto Hagiwara, et al. [28], introduced the modular multilevel cascade converter based on double-star chopper-cells, which is intended for grid connection to medium-voltage power systems without using line-frequency transformers.This proposes an arm-balancing control to achieve voltage balancing under all the operating conditions. Hossein Sepahvand, et al. [29], suggested the impacts of the connected load to the cascaded H-bridge converter as well as the switching angles on the voltage regulation of the capacitors are studied. This literature proves that voltage regulation is only attainable in a much limited operating conditions that it was originally reported. Javad Ebrahimi, et al. [30], used a new topology of a cascaded multilevel converter is proposed. The proposed topology is based on a cascaded connection of single-phase submultilevel converter units and full-bridge converters. Then, the structure of the proposed topology is optimized.
3.2 FLYING CAPACITOR MULTILEVEL INVERTER
Byeong-Mun Song, et al. [31], presented in this literature a new soft-switching flying capacitor multilevel inverter that can be generalized and be extended from three levels to any number of levels. Miguel F. Escalante, et al. [32], addressed the requirements imposed by a direct torque control (DTC) strategy on multilevel inverters are analyzed. A control strategy is proposed in order to fulfill those requirements. Keith A. Corzine, et al. [33], suggested an approach of balancing the
capacitors, thus expanding the application fields of FBCS inverters to the family of the flying capacitor multilevel inverters under the condition of choosing a suitable modulation index. Xiaomin Kou, et al. [34], used a unique design for flying capacitor type multilevel inverters with fault-tolerant featuresThe most attractive point of the proposed design is that it can undertake the single-switch fault per phase without sacrificing power converting quality. The capacitor balancing approach under fault-conditions are also given. Anshuman Shukla, et al. [35], investigated a method for controlling the FCMLI is proposed which ensures that the flying capacitor voltages remain nearly constant using the preferential charging and discharging of these capacitors. A static synchronous compensator (STATCOM) and a static synchronous series compensator (SSSC) based on five-level flying capacitor inverters are proposed. Dae-Wook Kang, et al. [36], presented in this literature a simple carrier symmetric method for the voltage balance of flying capacitors in flying-capacitor multilevel inverters. The carrier-redistribution pulse width modulation (CRPWM) method was reported as a solution for the voltage balance but it has a drawback at the transition of voltage level.Anshuman Shukla, et al. [37], addressed the implementation of a distribution static compensator (DSTATCOM) using an FCMLI is presented. A hysteresis current control technique for controlling the injected current by the FCMLI-based DSTATCOM is also discussed. Robert Stala, et al. [38], focused on investigations of voltage-sharing
stabilization with the use of passive RLC circuit in
switch-mode flying capacitor dc–dc converters. Also a mathematical analysis of the balancing process in boost and buck–boost converters are presented. . M. Hojo, et al. [39], suggested on well-known topology of flying capacitor multilevel converter which has several terminals of different dc voltage and an ac voltage terminal.This literature proposes to utilize the topology as an integrated power conversion module. Pavel Kobrle, et al. [40], addressed control strategy of flying capacitors multilevel inverters. The main issue is the analysis of the permissible switching states, especially the possibility of the multiple commutations. Z.Oudjebour, et al. [41], used the stabilization of the input DC voltages of five-level flying capacitors (FLFC) voltage source inverters (VSI) . A feedback
control algorithm of the rectifier is proposed. .M.
Trabelsi, et al. [42], investigated an experimental
9 converter. Mostafa Khazraei, et al. [43], presented in this literature two active capacitor voltage balancing schemes are proposed for single-phase (Hbridge) flying-capacitor multilevel converters. They are based on the circuit equations of flying capacitor converters. These methods are shown to be effective on capacitor voltage regulation in flying-capacitor multilevel converters. Anshuman Shukla, et al. [44], focused on the development of multilevel hysteresis current regulation strategies. Two such strategies have been discussed and some modifications in their control tasks have been proposed to achieve more reliable and improved performance.
3.4 SINUSOIDAL PWM
Giuseppe Carrara, et al. [45], focused on generalization of the PWM “subharmonic” method to control single-phase or three phase multilevel voltage source inverters (VSI). N. A. Azli, et al. [46], addressed Implementation of a regular sampled PWM technique based on a single carrier multilevel modulation strategy on a multilevel inverter using a digital signal processor (DSP) is presented.G.P. Adam, et al. [47], discussed in detail the principle of operation, carrier-based pulse width modulation and a capacitors voltage balancing technique for three-level and five-level modular inverters. B. Shanthi, et al. [48], investigated on comparison of unipolar multicarrier Pulse Width Modulation (PWM) techniques for the Flying Capacitor Multi Level Inverter (FCMLI). This literature presents the different types of unipolar PWM strategies for the chosen inverter. Moncef Ben Smida, et al. [49], used an original multicarrier subharmonic pulsewidth modulation (PWM), called disposition band carrier and phase-shifted carrier PWM (DBC-PSC-PWM), method is developed to
produce (n ×m + 1) output voltage levels and to
improve the output voltage harmonic spectrum with a wide output frequency range. P.K. Chaturvedi, et al. [50], presented in this literature a carrier-based closed-loop control technique has been developed to reduce the switching losses based on insertion of ‘no switching’ zone within each half cycle of fundamental wave. Suroso, et al. [51], suggested a five-level pulse width modulation inverter configuration, including chopper circuits as DC current-power source circuits using small smoothing inductors, is verified through computer simulations and experimental tests. K.Ramani, et al. [52], designed a seven-level flying capacitor multilevel inverter by using sinusoidal pulse width modulation technique.Ilhami Colak, et al. [53],
addressed a modified Sinusoidal Pulse Width Modulation (SPWM) modulator with phase disposition that increases output waveform up to 7-level while reducing output harmonics. Wahidah Abd, et al. [54], presented in this literature pulse-width modulation (PWM) for single-phase five-level inverter via field-programmable gate array (FPGA).
3.5 SPACE VECTOR PWM
10 possible switching states with a high winding current ripple. Ahmed M. Massoud, et al. [63], suggested two discontinuous multilevel space vector modulation (SVM) techniques are implemented for DVR control and are shown to reduce inverter switching losses while maintaining virtually the same harmonic performance as the conventional multilevel SVM at a high number of levels. Gabriele Grandi, et al. [64], introduced two carrier-based modulation techniques for a dual two-level inverter with power sharing capability and proper multilevel voltage waveforms. Their main advantage is a simpler implementation compared to SVM. Xu She, et al. [65], focused a novel 3-D space modulation technique with voltage balancing capability is proposed for a cascaded seven-level rectifier stage of SST.
3.6 SHE-PWM
Mohamed. S. A. Dahidah, et al. [66], suggested solutions to the switching transitions of a five-level SHE–PWM when both the quarter- and half-wave symmetry are abolished. Vladimir Blasko, et al. [67], used a novel and a systematic design approach for applying signal processing methods (like modified adaptive selective harmonic elimination algorithms) as an addition to conventional control. Alan J. Watson, et al. [68], presented in this literature a complete Harmonic Elimination Approach that is used to balance dc link voltages in a cascaded H-Bridge (CHB) multilevel rectifier. Mohamed S. A. Dahidah, et al. [69], addressed a generalized formulation for selective harmonic elimination pulse-width modulation (SHE-PWM) control suitable for high-voltage high-power cascaded multilevel voltage source converters (VSC) with both equal and nonequal dc sources used in constant frequency utility applications. Vassilios G. Agelidis, et al. [70], focused on a five-level symmetrically defined multifive-level selective harmonic elimination pulsewidth modulation (MSHE–PWM) strategy is reported in this paper. It is mathematically expressed using Fourier-based equations on a line-to-neutral basis. R.N. Ray, et al. [71], introduced a method is presented to compute the switching angles for selected harmonic elimination (SHE) in a multilevel inverter using the particle swarm optimisation technique. Fanghua Zhang, et al. [72], suggested a selective harmonic elimination (SHE) control strategy on a three-phase four-leg inverter is reported. Wanmin Fei, et al. [73], used a generalized formulation of quarter-wave symmetrical selective harmonic elimination (SHE) problems according to the rising and falling
edges of the pulsewidth modulation (PWM) waveforms for multilevel inverters. The SHE-PWM equations that can eliminate harmonics from 5th to
35th with modulation index M varying from 0 to
1.15 are formulated, and solutions are presented. Wanmin Fei, et al. [74], presented in this literature a novel generalized formulation of half-cycle symmetry SHE-PWM problems for multilevel inverters. A method to obtain initial values for the SHE-PWM equations according to the reference
modulation index M and the initial phase angle of
output fundamental voltage is proposed and investigated thoroughly. H. Taghizadeh, et al. [75], addressed the elimination of harmonics in a cascade multilevel inverter by considering the non equality of separated dc sources by using particle swarm optimization is presented. Mohamed S. A. Dahidah, et al. [76], focused on a new formulation of selective harmonic elimination pulse width modulation (SHE-PWM) technique suitable for cascaded multilevel inverters with optimized DC voltage levels. Sridhar R. Pulikanti, et al. [77], introduced a neutral point voltage control strategy for the three-level active neutral point clamped (ANPC) converter using selective harmonic elimination pulsewidth modulation (SHE-PWM). Sridhar R. Pulikanti, et al. [78], presented in this literature a control strategy is proposed to regulate the voltage across the FCs at their respective reference voltage levels by swapping the switching patterns of the switches based on the polarity of the output current, the polarity of the FC voltage, and the polarity of the fundamental line-to-neutral voltage under selective harmonic elimination pulsewidth modulation.
3.7 SPACE VECTOR CONTROL
José Rodríguez, et al. [79], addressed a switching strategy for multilevel cascade inverters, based on the space-vector theory. The proposed switching strategy generates a voltage vector with very low harmonic distortion and reduced switching frequency. Anandarup Das, et al. [80], used a new PWM technique for induction motor drives involving six concentric dodecagonal space vector structures is proposed. Liliang Gao, et al. [81],
suggesteda novel space vector modulation (SVM)
11 vector across the load with minimum error with respect to the sinusoidal reference.
4. SUMMARY OF THE PAPER
The following tables give summary of the paper as: (a). Multilevel Inverter Topologies Point Of View
Paramete rs
Total No. of
Literatures Reviews out
of 44
Literatures
% of Literatures
Reviews out of 44 Literatures
Diode
clamped 12 27.27
Cascaded
H -bridge 18 40.90
Flying
Capacitor 14 31.83
Table.2: Multilevel Inverter Topologies Point Of View.
From above tables 2, it is concluded that the 27.27 % of total literatures are reviews based on Diode Clamped Multilevel Inverter, 40.90 % of total literatures are reviews based on Cascaded H-bridge Multilevel Inverter, 31.83 % of total literatures are reviews based on Flying Capacitor Multilevel
Inverter viewpoints.
(b). Modulation Strategies Point Of View
From below tables 3, it is concluded that the 26.32 % of total literatures are reviews based on Sinusoidal PWM Technique, 28.95 % of total literatures are reviews based on Space Vector PWM Technique, 34.21% of total literatures are reviews based on Selective Harmonic Elimination PWM Technique and 10.52 % of total literatures are reviews based on Space Vector Control Technique viewpoints.
Paramet ers
Total No. of Literatures
Reviews out of 44 Literatures
% of Literatures
Reviews out of 44 Literatures
SPWM 10 26.32
SVM 11 28.95
SHE-PWM 13 34.21
SVC 4 10.52
Table:3 Modulation Strategies Point Of View From above tables 3, it is concluded that the 26.32 % of total literatures are reviews based on Sinusoidal PWM Technique, 28.95 % of total literatures are reviews based on Space Vector PWM Technique, 34.21% of total literatures are reviews based on Selective Harmonic Elimination PWM Technique and 10.52 % of total literatures are reviews based on Space Vector Control Technique viewpoints.
5. CONCLUSIONS
This paper has been addressed a survey of several
technical literature concerned with Multilevel
Inverter Topologies and their Modulation Technique. Today, more and more commercial products are based on the multilevel inverter structure, and more and more worldwide research and development of multilevel inverter-related technologies is occurring. This paper can not cover or reference all the related work, but the fundamental principle of different multilevel inverters has been introduced systematically. Authors strongly believe that this survey article will be very much useful to the researchers for fi nding out the relevant references as well as the previous work done in the field of multilevel inverter topologies and their modulation technique.
ACKNOWLEDGMENT
The authors would like to thanks Dr. K. S. Verma, Director, and Prof. S. K. Sinha, HOD, EED, Dr. Deependra Singh, Registrar, KNIT Sultanpur-228118, U.P., India, for valuable discussions regarding with multilevel inverter topologies and their modulation technique.
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